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2099218944 = 2937119249
BaseRepresentation
bin111110100011111…
…1000101000000000
312102022001101000210
41331013320220000
513244400001234
6544145314120
7103010031564
oct17507705000
95368041023
102099218944
11987a55299
124a7035940
13275ba64b4
1415cb256a4
15c4460be9
hex7d1f8a00

2099218944 has 80 divisors (see below), whose sum is σ = 5671512000. Its totient is φ = 689848320.

The previous prime is 2099218943. The next prime is 2099218963. The reversal of 2099218944 is 4498129902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2099218893 and 2099218902.

It is not an unprimeable number, because it can be changed into a prime (2099218943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99432 + ... + 118680.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 22099218944 is an apocalyptic number.

2099218944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835756000).

2099218944 is an abundant number, since it is smaller than the sum of its proper divisors (3572293056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2099218944 is an equidigital number, since it uses as much as digits as its factorization.

2099218944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19341 (or 19325 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 2099218944 is about 45817.2341373855. The cubic root of 2099218944 is about 1280.4203827544.

The spelling of 2099218944 in words is "two billion, ninety-nine million, two hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 4544 6816 9088 13632 18176 19249 27264 36352 38498 54528 57747 76996 109056 115494 153992 230988 307984 461976 615968 923952 1231936 1366679 1847904 2463872 2733358 3695808 4100037 4927744 5466716 7391616 8200074 9855488 10933432 14783232 16400148 21866864 29566464 32800296 43733728 65600592 87467456 131201184 174934912 262402368 349869824 524804736 699739648 1049609472 2099218944